Search a number
-
+
2112212220101 = 171019121931087
BaseRepresentation
bin11110101111001001101…
…010001011100011000101
321110220222200221020210222
4132233021222023203011
5234101302312020401
64254200434154125
7305413405431554
oct36571152134305
97426880836728
102112212220101
11744869807675
122a143b722945
13124247180b49
14743357b1d9b
1539e24407c1b
hex1ebc9a8b8c5

2112212220101 has 8 divisors (see below), whose sum is σ = 2238654775680. Its totient is φ = 1986013528768.

The previous prime is 2112212220059. The next prime is 2112212220113. The reversal of 2112212220101 is 1010222122112.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2112212220101 is a prime.

It is a super-2 number, since 2×21122122201012 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 2112212220101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112211220101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60948221 + ... + 60982866.

It is an arithmetic number, because the mean of its divisors is an integer number (279831846960).

Almost surely, 22112212220101 is an apocalyptic number.

It is an amenable number.

2112212220101 is a deficient number, since it is larger than the sum of its proper divisors (126442555579).

2112212220101 is a wasteful number, since it uses less digits than its factorization.

2112212220101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121932123.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2112212220101 its reverse (1010222122112), we get a palindrome (3122434342213).

The spelling of 2112212220101 in words is "two trillion, one hundred twelve billion, two hundred twelve million, two hundred twenty thousand, one hundred one".

Divisors: 1 17 1019 17323 121931087 2072828479 124247777653 2112212220101